13901391504 has 1280 divisors, whose sum is σ = 59516190720. Its totient is φ = 2985984000.

The previous prime is 13901391503. The next prime is 13901391587. The reversal of 13901391504 is 40519310931.

13901391504 is a `hidden beast` number, since 13 + 9 + 0 + 139 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13901391503) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 227891634 + ... + 227891694.

It is an arithmetic number, because the mean of its divisors is an integer number (46497024).

Almost surely, 2^13901391504 is an apocalyptic number.

13901391504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13901391504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758095360).

13901391504 is an abundant number, since it is smaller than the sum of its proper divisors (45614799216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13901391504 is a wasteful number, since it uses less digits than its factorization.

13901391504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13901391504 in words is "thirteen billion, nine hundred one million, three hundred ninety-one thousand, five hundred four".